1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Integration of cos

  1. Nov 13, 2009 #1
    Erm, I have this integration question:

    sqrt((1-cos(x))/2) with an upper limit of 2pie and lower limit of 0.

    I can't seem to do it right.

    I tried simplifying it:

    sqrt((1-cos(x))/2)
    = ((1-cos(x))/2)^(1/2)
    = 1 - (cos^-2(x))^(1/2)
    = 1 - cos^-1(x)

    Then I intgrated 1... which becomes x, but I have no idea how to do cos^-1(x), I saw the long formula for the integration of cos^something(x) but I don't think it applies here... because the answer is 4...
     
  2. jcsd
  3. Nov 13, 2009 #2
    bad.. BAD Dorumon!! =P

    sqrt(a + b) =/= a + sqrt(b)

    You should have some trigonometric substitutions in your notes/textbook that involve cosine. Take a look at them, and see if they make the integrand a little nicer.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Integration of cos
  1. Cos^2(x) Integral (Replies: 5)

  2. Integral of cos^2 x (Replies: 3)

  3. Integrating cos^6(x) (Replies: 1)

  4. Integral of cos(x^2) (Replies: 6)

Loading...